A mathematical model of solid-state dewetting of barium thin films on W (112)

Knavel, S. A.; Savina, Tatiana V.; Mroz, M. V.; Kordesch, M. E.; Eads, C. N.; Sadowski, Jerzy T.; Tenney, S. A.

doi:10.1051/mmnp/2019040

Title: A mathematical model of solid-state dewetting of barium thin films on W (112)

Abstract

Solid state dewetting occurs when a thin solid film is heated. The temperature of dewetting depends on the thickness of the film; dewetting can be observed in the range of 1/3 to 1/2 of the bulk melting temperature. While remaining solid, the film behaves in a manner similar to liquids dewetting and agglomerating to forming islands or droplets. One of the possible mechanisms is the conversion of a metastable thin film geometry into a more stable form. Heating the metastable film gives the film atoms higher mobility, and the films retract, dewetting the surface. This atomic motion can be restricted due to surface anisotropy. Herein we present in situ emission microscopy observations of barium thin films deposited ontoW(112) by thermal evaporation. From the modeling viewpoint, the evolution of the film in this system could be divided in four stages: (i) the nucleation and growth of the thin film as a simply connected region; (ii) formation of droplets/islands/hillocks; (iii) nucleation of holes; (iv) evolution of the components of the disconnected film to their equilibrium state. We present a continuum model that is qualitatively consistent with the evolution of the film observed at the initial stage of the experiment and discuss themore »« less

Authors:

Knavel, S. A. ^[1];

^[1]; Mroz, M. V. ^[1]; Kordesch, M. E. ^[1]; Eads, C. N. ^[2];

^[2]; Tenney, S. A. ^[2]

Ohio Univ., Athens, OH (United States)
Brookhaven National Lab. (BNL), Upton, NY (United States)

Publication Date:: 2020-03-06

Research Org.:: Brookhaven National Lab. (BNL), Upton, NY (United States)

Sponsoring Org.:: USDOE Office of Science (SC), Basic Energy Sciences (BES); Defense Advanced Research Projects Agency (DARPA)

OSTI Identifier:: 1604619

Report Number(s):: BNL-213714-2020-JAAM
Journal ID: ISSN 0973-5348

Grant/Contract Number:: SC0012704; N66001-16-1-4040

Resource Type:: Accepted Manuscript

Journal Name:: Mathematical Modelling of Natural Phenomena

Additional Journal Information:: Journal Volume: 15; Journal ID: ISSN 0973-5348

Publisher:: EDP Sciences

Country of Publication:: United States

Language:: English

Subject:: 36 MATERIALS SCIENCE; Solid-solid thin film dewetting; barium; W(112)

Citation Formats


                    Knavel, S. A., Savina, Tatiana V., Mroz, M. V., Kordesch, M. E., Eads, C. N., Sadowski, Jerzy T., and Tenney, S. A. A mathematical model of solid-state dewetting of barium thin films on W (112).  United States: N. p., 2020. 
Web.  https://doi.org/10.1051/mmnp/2019040.

Copy to clipboard


                    Knavel, S. A., Savina, Tatiana V., Mroz, M. V., Kordesch, M. E., Eads, C. N., Sadowski, Jerzy T., & Tenney, S. A. A mathematical model of solid-state dewetting of barium thin films on W (112).  United States.  https://doi.org/10.1051/mmnp/2019040

Copy to clipboard


                    Knavel, S. A., Savina, Tatiana V., Mroz, M. V., Kordesch, M. E., Eads, C. N., Sadowski, Jerzy T., and Tenney, S. A. Fri .  
"A mathematical model of solid-state dewetting of barium thin films on W (112)".  United States.  https://doi.org/10.1051/mmnp/2019040.  https://www.osti.gov/servlets/purl/1604619.

Copy to clipboard


                    
@article{osti_1604619,

  title        = {A mathematical model of solid-state dewetting of barium thin films on W (112)},

  author       = {Knavel, S. A. and Savina, Tatiana V. and Mroz, M. V. and Kordesch, M. E. and Eads, C. N. and Sadowski, Jerzy T. and Tenney, S. A.},

  abstractNote = {Solid state dewetting occurs when a thin solid film is heated. The temperature of dewetting depends on the thickness of the film; dewetting can be observed in the range of 1/3 to 1/2 of the bulk melting temperature. While remaining solid, the film behaves in a manner similar to liquids dewetting and agglomerating to forming islands or droplets. One of the possible mechanisms is the conversion of a metastable thin film geometry into a more stable form. Heating the metastable film gives the film atoms higher mobility, and the films retract, dewetting the surface. This atomic motion can be restricted due to surface anisotropy. Herein we present in situ emission microscopy observations of barium thin films deposited ontoW(112) by thermal evaporation. From the modeling viewpoint, the evolution of the film in this system could be divided in four stages: (i) the nucleation and growth of the thin film as a simply connected region; (ii) formation of droplets/islands/hillocks; (iii) nucleation of holes; (iv) evolution of the components of the disconnected film to their equilibrium state. We present a continuum model that is qualitatively consistent with the evolution of the film observed at the initial stage of the experiment and discuss the later stages of the evolution of surface structures.},

  doi          = {10.1051/mmnp/2019040},

  journal      = {Mathematical Modelling of Natural Phenomena},

  number       = ,

  volume       = 15,

  place        = {United States},

  year         = {2020},

  month        = {3}

}

Copy to clipboard

Journal Article:

Free Publicly Available Full Text

Accepted Manuscript (DOE)

Publisher's Version of Record

https://doi.org/10.1051/mmnp/2019040

Other availability

Search WorldCat to find libraries that may hold this journal

Save / Share:

Export Metadata

Save to My Library

Works referenced in this record:

The vapour pressures of barium and strontium
journal, May 1988

Jacob, K. T.; Waseda, Y.
Journal of the Less Common Metals, Vol. 139, Issue 2
DOI: 10.1016/0022-5088(88)90006-9

Sharp interface model for solid-state dewetting problems with weakly anisotropic surface energies
journal, January 2015

Wang, Yan; Jiang, Wei; Bao, Weizhu
Physical Review B, Vol. 91, Issue 4
DOI: 10.1103/PhysRevB.91.045303

Theory of Thermal Grooving
journal, March 1957

Mullins, W. W.
Journal of Applied Physics, Vol. 28, Issue 3
DOI: 10.1063/1.1722742

Faceting of a growing crystal surface by surface diffusion
journal, February 2003

Savina, T. V.; Golovin, A. A.; Davis, S. H.
Physical Review E, Vol. 67, Issue 2
DOI: 10.1103/PhysRevE.67.021606

Solid-solid dewetting of scandium thin films on the W(100) surface observed using emission microscopy
journal, January 2019

Mroz, Michael V.; Savina, Tatiana; Kordesch, Martin E.
Journal of Vacuum Science & Technology B, Vol. 37, Issue 1
DOI: 10.1116/1.5066015

Kinetics of Instabilities in Solid Films
journal, July 1986

Safran, S. A.; Srolovitz, D. J.
Europhysics Letters (EPL), Vol. 2, Issue 1
DOI: 10.1209/0295-5075/2/1/009

Ba Sc O on W (0 0 1), (1 1 0), and (1 1 2) in scandate cathodes: Connecting to experiment via $μ_{O}$ and equilibrium crystal shape
journal, November 2018

Zhou, Qunfei; Liu, Xiaotao; Maxwell, Tyler
Applied Surface Science, Vol. 458
DOI: 10.1016/j.apsusc.2018.07.060

Thermionic emission microscopy of scandium thin film dewetting on W(100)
journal, June 2018

Mroz, Michael; Tenney, Samuel; Savina, Tatiana
AIP Advances, Vol. 8, Issue 6
DOI: 10.1063/1.5039612

Comparison of the agglomeration behavior of thin metallic films on SiO2
journal, July 2005

Gadkari, P. R.; Warren, A. P.; Todi, R. M.
Journal of Vacuum Science & Technology A: Vacuum, Surfaces, and Films, Vol. 23, Issue 4
DOI: 10.1116/1.1861943

Work function and surface stability of tungsten-based thermionic electron emission cathodes
journal, November 2017

Jacobs, Ryan; Morgan, Dane; Booske, John
APL Materials, Vol. 5, Issue 11
DOI: 10.1063/1.5006029

Capillary instabilities in thin films
journal, November 1990

Jiran, E.; Thompson, C. V.
Journal of Electronic Materials, Vol. 19, Issue 11
DOI: 10.1007/BF02673327

The mechanism of corner instabilities in single-crystal thin films during dewetting
journal, March 2016

Zucker, Rachel V.; Kim, Gye Hyun; Ye, Jongpil
Journal of Applied Physics, Vol. 119, Issue 12
DOI: 10.1063/1.4944712

Faceting instability in the presence of wetting interactions: A mechanism for the formation of quantum dots
journal, December 2004

Golovin, A. A.; Levine, M. S.; Savina, T. V.
Physical Review B, Vol. 70, Issue 23
DOI: 10.1103/PhysRevB.70.235342

On the solid-state dewetting of polycrystalline thin films: Capillary versus grain growth approach
journal, January 2018

Jacquet, P.; Podor, R.; Ravaux, J.
Acta Materialia, Vol. 143
DOI: 10.1016/j.actamat.2017.08.070

Solid-State Dewetting of Thin Films
journal, August 2012

Thompson, Carl V.
Annual Review of Materials Research, Vol. 42, Issue 1
DOI: 10.1146/annurev-matsci-070511-155048

Similar Records in DOE PAGES and OSTI.GOV collections:

High-speed nanoscale characterization of dewetting via dynamic transmission electron microscopy

Journal Article Hihath, Sahar ; Department of Physics, University of California, Davis, 1 Shields Ave., Davis, California 95616 ; Santala, Melissa K. ; ... - Journal of Applied Physics

The dewetting of thin films can occur in either the solid or the liquid state for which different mass transport mechanisms are expected to control morphological changes. Traditionally, dewetting dynamics have been examined on time scales between several seconds to hours, and length scales ranging between nanometers and millimeters. The determination of mass transport mechanisms on the nanoscale, however, requires nanoscale spatial resolution and much shorter time scales. This study reports the high-speed observation of dewetting phenomena for kinetically constrained Ni thin films on crystalline SrTiO{sub 3} substrates. Movie-mode Dynamic Transmission Electron Microscopy (DTEM) was used for high-speed image acquisitionmore »« less
https://doi.org/10.1063/1.4961212
Thermionic emission microscopy of scandium thin film dewetting on W(100)

Journal Article Mroz, Michael ; Tenney, Samuel ; Savina, Tatiana ; ... - AIP Advances

Scandium thin films of 5-30 nm thickness deposited on clean W(100) surfaces de-wet from the tungsten surface when heated to temperatures < 0.5 T_melt. The dewetting temperature and the resulting droplet size are a function of the initial scandium film thickness.
Cited by 3
https://doi.org/10.1063/1.5039612

Full Text Available
In-situ investigation of thermal instabilities and solid state dewetting in polycrystalline platinum thin films via confocal laser microscopy

Journal Article Jahangir, S. ; Cheng, Xuan ; Huang, H. H. ; ... - Journal of Applied Physics

Solid state dewetting and the subsequent morphological changes for platinum thin films grown on zinc oxide (ZnO) buffered (001) silicon substrates (Pt/ZnO/SiO{sub 2}/(001)Si system) is investigated under vacuum conditions via a custom-designed confocal laser microscope coupled with a laser heating system. Live imaging of thin film dewetting under a range of heating and quenching vacuum ambients reveals events including hillock formation, hole formation, and hole growth that lead to formation of a network of Pt ligaments, break up of Pt ligaments to individual islands and subsequent Pt islands shape reformation, in chronological fashion. These findings are corroborated by ex-situ materialsmore »« less
https://doi.org/10.1063/1.4898691
Effect of annealing ambient on anisotropic retraction of film edges during solid-state dewetting of thin single crystal films

Journal Article Kim, Gye Hyun ; Thompson, Carl V., E-mail: cthomp@mit.edu ; Ma, Wen ; ... - Journal of Applied Physics

During solid-state dewetting of thin single crystal films, film edges retract at a rate that is strongly dependent on their crystallographic orientations. Edges with kinetically stable in-plane orientations remain straight as they retract, while those with other in-plane orientations develop in-plane facets as they retract. Kinetically stable edges have retraction rates that are lower than edges with other orientations and thus determine the shape of the natural holes that form during solid-state dewetting. In this paper, measurements of the retraction rates of kinetically stable edges for single crystal (110) and (100) Ni films on MgO are presented. Relative retraction ratesmore »« less
https://doi.org/10.1063/1.4961205
Solid-state dewetting of Au/Ni bilayers: The effect of alloying on morphology evolution

Journal Article Herz, A. ; Wang, D., E-mail: dong.wang@tu-ilmenau.de ; Kups, Th. ; ... - Journal of Applied Physics

The solid-state dewetting of thin Au/Ni bilayers deposited onto SiO{sub 2}/Si substrates is investigated. A rapid thermal treatment is used to induce the dewetting process by an increase in temperature. The evolution of the (111) peaks of X-ray diffraction reveals a characteristic change due to mixing of Au and Ni. At low temperature, the Au-Ni thin film is found to break up at the phase boundaries and growing voids are shown to be surrounded by a Ni-rich phase. Branch-like void growth is observed. Upon annealing at increasing temperatures, Au-Ni solid solutions are formed well above the bulk equilibrium solubility ofmore »« less
https://doi.org/10.1063/1.4891448

Similar Records

Title: A mathematical model of solid-state dewetting of barium thin films on W (112)

Abstract

Citation Formats

The vapour pressures of barium and strontium journal, May 1988

Sharp interface model for solid-state dewetting problems with weakly anisotropic surface energies journal, January 2015

Theory of Thermal Grooving journal, March 1957

Faceting of a growing crystal surface by surface diffusion journal, February 2003

Solid-solid dewetting of scandium thin films on the W(100) surface observed using emission microscopy journal, January 2019

Kinetics of Instabilities in Solid Films journal, July 1986

Ba Sc O on W (0 0 1), (1 1 0), and (1 1 2) in scandate cathodes: Connecting to experiment via μ O and equilibrium crystal shape journal, November 2018

Thermionic emission microscopy of scandium thin film dewetting on W(100) journal, June 2018

Comparison of the agglomeration behavior of thin metallic films on SiO2 journal, July 2005

Work function and surface stability of tungsten-based thermionic electron emission cathodes journal, November 2017

Capillary instabilities in thin films journal, November 1990

The mechanism of corner instabilities in single-crystal thin films during dewetting journal, March 2016

Faceting instability in the presence of wetting interactions: A mechanism for the formation of quantum dots journal, December 2004

On the solid-state dewetting of polycrystalline thin films: Capillary versus grain growth approach journal, January 2018

Solid-State Dewetting of Thin Films journal, August 2012

The vapour pressures of barium and strontium
journal, May 1988

Sharp interface model for solid-state dewetting problems with weakly anisotropic surface energies
journal, January 2015

Theory of Thermal Grooving
journal, March 1957

Faceting of a growing crystal surface by surface diffusion
journal, February 2003

Solid-solid dewetting of scandium thin films on the W(100) surface observed using emission microscopy
journal, January 2019

Kinetics of Instabilities in Solid Films
journal, July 1986

Ba Sc O on W (0 0 1), (1 1 0), and (1 1 2) in scandate cathodes: Connecting to experiment via $μ_{O}$ and equilibrium crystal shape
journal, November 2018

Thermionic emission microscopy of scandium thin film dewetting on W(100)
journal, June 2018

Comparison of the agglomeration behavior of thin metallic films on SiO2
journal, July 2005

Work function and surface stability of tungsten-based thermionic electron emission cathodes
journal, November 2017

Capillary instabilities in thin films
journal, November 1990

The mechanism of corner instabilities in single-crystal thin films during dewetting
journal, March 2016

Faceting instability in the presence of wetting interactions: A mechanism for the formation of quantum dots
journal, December 2004

On the solid-state dewetting of polycrystalline thin films: Capillary versus grain growth approach
journal, January 2018

Solid-State Dewetting of Thin Films
journal, August 2012